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人気のある代数 >

x^4-5x^2+3=0

解

x^{4} - 5 x^{2} + 3 = 0

解

x = \frac{5 + 13}{2}, x = - \frac{5 + 13}{2}, x = \frac{5 - 13}{2}, x = - \frac{5 - 13}{2}

+1

十進法表記

x = 2.07431 \dots, x = - 2.07431 \dots, x = 0.83499 \dots, x = - 0.83499 \dots

解答ステップ

x^{4} - 5 x^{2} + 3 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 5 u + 3 = 0

解く

u^{2} - 5 u + 3 = 0 : u = \frac{5 + 13}{2}, u = \frac{5 - 13}{2}

u = \frac{5 + 13}{2}, u = \frac{5 - 13}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{5 + 13}{2} : x = \frac{5 + 13}{2}, x = - \frac{5 + 13}{2}

解く

x^{2} = \frac{5 - 13}{2} : x = \frac{5 - 13}{2}, x = - \frac{5 - 13}{2}

解答は

x = \frac{5 + 13}{2}, x = - \frac{5 + 13}{2}, x = \frac{5 - 13}{2}, x = - \frac{5 - 13}{2}

グラフ

人気の例

2x^3+26x^2+84x=0

2 x^{3} + 26 x^{2} + 84 x = 0

(x-2)^2(x+sqrt(3))=0

(x - 2)^{2} (x + 3) = 0

z^5-2z^4-z^3+6z-4=0

z^{5} - 2 z^{4} - z^{3} + 6 z - 4 = 0

\frac{64}{81} = 4 q^{3}

- b + 3 - 1 = 3 x^{4}